Definitions and properties of limits (handwriting attached)

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Homework Help Overview

The discussion revolves around the properties of limits and their application in calculus, specifically in the context of integrals and definitions related to them.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty regarding the properties of limits and seek validation of their understanding. There are inquiries about the definitions being used, particularly concerning the relationship between integrals and derivatives.

Discussion Status

The conversation is ongoing, with participants questioning the definitions and properties involved. Some guidance has been offered regarding the use of the Riemann sum in the context of definite integrals, but no consensus has been reached on the properties of limits themselves.

Contextual Notes

There appears to be a lack of clarity on the definitions being applied, particularly in relation to the indefinite integral and its connection to the properties of limits.

tolove
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I'm not entirely sure on the properties of limits, but this seems to work. Could someone look over this for me?

http://imgur.com/6zCHYo5
 
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tolove said:
I'm not entirely sure on the properties of limits, but this seems to work. Could someone look over this for me?

http://imgur.com/6zCHYo5
attachment.php?attachmentid=56132&stc=1&d=1361913384.jpg

What is it that you're trying to do?

Please state the problem.

 
 

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SammyS said:
What is it that you're trying to do?

Please state the problem.

 

Not really a problem here, just wanting to make sure I'm doing this correctly. I'm trying to show that ∫ y' dx = ∫ dy through definitions.
 
tolove said:
Not really a problem here, just wanting to make sure I'm doing this correctly. I'm trying to show that ∫ y' dx = ∫ dy through definitions.

What are you using for the definition of the indefinite integral?

The Riemann sum is generally used for the definite integral.
 

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